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Finding the Fourth Proportional to 8,919.50, 12,310.26 and 5,193.50

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Solution

The fourth proportional to 8,919.50, 12,310.26 and 5,193.50 is: 7,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.50 : 12,310.26 = 5,193.50 : x
  2. Step 2: Convert to fraction form
    8,919.50/12,310.26 = 5,193.50/x
  3. Step 3: Cross multiply
    8,919.50x = 12,310.26 × 5,193.50
  4. Step 4: Simplify right side
    8,919.50x = 63,933,335.31
  5. Step 5: Solve for x
    x = 63,933,335.31/8,919.50
  6. Step 6: Final answer
    x = 7,167.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.